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Finding the Fourth Proportional to 254,488.32, 351,204.48 and 141,312

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Solution

The fourth proportional to 254,488.32, 351,204.48 and 141,312 is: 195,016.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,488.32 : 351,204.48 = 141,312 : x
  2. Step 2: Convert to fraction form
    254,488.32/351,204.48 = 141,312/x
  3. Step 3: Cross multiply
    254,488.32x = 351,204.48 × 141,312
  4. Step 4: Simplify right side
    254,488.32x = 49,629,407,477.76
  5. Step 5: Solve for x
    x = 49,629,407,477.76/254,488.32
  6. Step 6: Final answer
    x = 195,016.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.